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(Solved): Find the slope of the line tangent to \[ \sin (x)+\cos (y)=x y^{2} \] at the point \( (0, \pi / 2) ...
![Find the slope of the line tangent to
\[
\sin (x)+\cos (y)=x y^{2}
\]
at the point \( (0, \pi / 2) \). Show all your work! (B](https://media.cheggcdn.com/media/655/65563d23-fd73-4b28-9c81-ed5a0c9c72eb/php7uaKAd)
Find the slope of the line tangent to \[ \sin (x)+\cos (y)=x y^{2} \] at the point \( (0, \pi / 2) \). Show all your work! (By the way, this curve has a fun shape, feel free to plug this into a graphing tool to see what it looks like)